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Communications in Algebra Volume 52, 2024 - Issue 7
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Research Article

Remarks on almost Gorenstein rings

Naoki Endoa School of Political Science and Economics, Meiji University, Tokyo, JapanCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-9343-7161View further author information
ORCID Icon &
Naoyuki Matsuokab Department of Mathematics, School of Science and Technology, Meiji University, Kawasaki, JapanView further author information
Pages 2884-2891 | Received 26 Jul 2023, Accepted 19 Jan 2024, Published online: 07 Feb 2024

References

  • Barucci, V., Fröberg, R. (1997). One-dimensional almost Gorenstein rings. J. Algebra 188(2):418–442. DOI: 10.1006/jabr.1996.6837.
  • Celikbas, E., Endo, N., Laxmi, J., Weyman, J. (2022). Almost Gorenstein determinantal rings of symmetric matrices. Commun. Algebra 50(12):5449–5458. DOI: 10.1080/00927872.2022.2086260.
  • Endo, N. How many ideals whose quotient rings are Gorenstein exist ?. arXiv:2305.19633.
  • Eto, K. (2017). Almost Gorenstein monomial curves in affine four space. J. Algebra 488:362–387. DOI: 10.1016/j.jalgebra.2017.05.044.
  • Goto, S., Kien, D. V., Matsuoka, N., Truong, H. L. (2018). Pseudo-Frobenius numbers versus defining ideals in numerical semigroup rings. J. Algebra 508:1–15. DOI: 10.1016/j.jalgebra.2018.04.025.
  • Goto, S., Matsuoka, N., Phuong, T. T. (2013). Almost Gorenstein rings. J. Algebra 379:355–381. DOI: 10.1016/j.jalgebra.2013.01.025.
  • Goto, S., Matsuoka, N., Taniguchi, N., Yoshida, K.-i. (2016). The almost Gorenstein Rees algebras over two-dimensional regular local rings. J. Pure Appl. Algebra 220:3425–3436. DOI: 10.1016/j.jpaa.2016.04.007.
  • Goto, S., Takahashi, R., Taniguchi, N. (2015). Almost Gorenstein rings -towards a theory of higher dimension. J. Pure Appl. Algebra 219:2666–2712. DOI: 10.1016/j.jpaa.2014.09.022.
  • Goto, S., Watanabe, K.-i. (1978). On graded rings I. J. Math. Soc. Japan 30(2):179–213. DOI: 10.2969/jmsj/03020179.
  • Nari, H. (2013). Symmetries on almost symmetric numerical semigroups. Semigroup Forum 86(1):140–154. DOI: 10.1007/s00233-012-9397-z.
  • Sally, J. (1979). Cohen-Macaulay local rings of maximal embedding dimension. J. Algebra 56:168–183. DOI: 10.1016/0021-8693(79)90331-4.
  • Taniguchi, N. (2018). On the almost Gorenstein property of determinantal rings. Commun. Algebra 46(3):1165–1178. DOI: 10.1080/00927872.2017.1339066.
  • Zariski, O., Samuel, P. (1960). Commutative Algebra Volume II. Berlin: Springer.

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